Problems on Ages

Ladakh Prison Department · Mathematics · 81 practice questions with answers and explanations: 43 Easy, 37 Medium, 1 Hard.

Sample questions

Sample Easy question 1

Amit's present age is 32 years. What will it be after 14 years?

  1. 47
  2. 46
  3. 448
  4. 18
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Answer: B. 32 + 14 = 46 years.

Sample Easy question 2

Farah is 45 years old now. How old was this person 11 years ago?

  1. 55
  2. 56
  3. 35
  4. 34
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Answer: D. 45 − 11 = 34 years.

Sample Easy question 3

The ages of Neha and Farah are in the ratio 1 : 3, and the sum of their ages is 12 years. What is the age of Farah (in years)?

  1. 3
  2. 4
  3. 12
  4. 9
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Answer: D. One part = 12/4 = 3; Farah's age = 3 × 3 = 9 years.

Sample Medium question 4

The ages of Rohit and Farah are in the ratio 4 : 5, and the sum of their ages is 36 years. What is the age of Farah (in years)?

  1. 31
  2. 20
  3. 24
  4. 16
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Answer: B. One part = 36/9 = 4; Farah's age = 5 × 4 = 20 years.

Sample Medium question 5

The ages of Karan and Neha are in the ratio 3 : 4, and the difference between their ages is 9 years. What is Karan's age (in years)?

  1. 18
  2. 36
  3. 27
  4. 9
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Answer: C. One part = 9/1 = 9; Karan's age = 3 × 9 = 27 years.

Sample Medium question 6

A father is 17 years old and his son is 6. After how many years will the father be exactly 2 times as old as the son?

  1. 5
  2. 6
  3. 7
  4. 8
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Answer: A. After t years: 17+t = 2(6+t), which gives t = 5.

Sample Hard question 7

Ten years ago a father was 12 times as old as his son; ten years from now he will be twice as old as his son. Find the son's present age.

  1. 14
  2. 15
  3. 10
  4. 12
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Answer: D. f − 10 = 12(s − 10) and f + 10 = 2(s + 10). Eliminating f: 12s − 110 = 2s + 10, so s = 12 (and f = 34).

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